Speaker : Professor Hsin-Yuan Huang (National Taiwan University)
Title : On the Action-Minimizing Triple Collision Orbits in the Planar Three-body Problem
Time : 2012-03-01 (Thu) 14:00 - 15:00
Place : Lecture Hall, Inst. of Mathematics
Abstract: In this talk, we study the shape of the limiting configuration of the action-minimizing triple collision orbits in the planar Newtonian three-body problem with arbitrary masses. For a given non-collinear initial configuration, the minimizing triple collision orbit is collision-free until a simultaneous collision, and its limiting configuration is the Lagrangian configuration with the same orientation as the initial configuration. For the collinear initial configuration, under a certain technical assumption, there exist two minimizing orbits. The limiting configurations of these orbits are the two opposite Lagrangian configurations.